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Global Attractor of an Impulsive Dynamical System Generated by The wave Equation


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Abstract

We prove the existence and invariance of a global attractor for a discontinuous system generated by the wave equation such that solutions of the system undergo impulsive perturbations when they reach a certain fixed subset of the phase space.

About the authors

O. V. Kapustyan

Shevchenko Kyiv National University

Email: Jade.Santos@springer.com
Ukraine, Hlushkov Ave., 4, Kyiv, 03680

I. V. Romanyuk

Shevchenko Kyiv National University

Email: Jade.Santos@springer.com
Ukraine, Hlushkov Ave., 4, Kyiv, 03680

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